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[helm.git] / helm / software / matita / contribs / ng_assembly / freescale_tests / micro_tests9.ma

diff --git a/helm/software/matita/contribs/ng_assembly/freescale_tests/micro_tests9.ma b/helm/software/matita/contribs/ng_assembly/freescale_tests/micro_tests9.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-(* ********************************************************************** *)
-(*                          Progetto FreeScale                            *)
-(*                                                                        *)
-(*   Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
-(*   Ultima modifica: 05/08/2009                                          *)
-(*                                                                        *)
-(* ********************************************************************** *)
-
-include "freescale_tests/micro_tests_tools.ma".
-include "freescale/multivm.ma".
-include "freescale/status_lemmas.ma".
-include "common/nat_to_num.ma".
-
-(* ****************************************** *)
-(* MICRO TEST DI CORRETTEZZA DELLE ISTRUZIONI *)
-(* ****************************************** *)
-
-(* ********************* *)
-(* TEOREMA MULT PER RS08 *)
-(* ********************* *)
-
-ndefinition mTest_RS08_mult_source ≝ let m ≝ RS08 in source_to_byte8 m (
-(* 
-   ZH:ZL=X*Y con [0x0020-0x004F] X ≝ [0x0020] Y ≝ [0x0021] ZH ≝ [0x0022] ZL ≝ [0x0023]
-*)
-(* [0x3800] ZH <- 0      3clk *) (compile m ? CLR (maDIR1 〈x2,x2〉) I) @
-(* [0x3802] ZL <- 0      3clk *) (compile m ? CLR (maDIR1 〈x2,x3〉) I) @
-(* [0x3804] (l1) A <- Y  3clk *) (compile m ? LDA (maDIR1 〈x2,x1〉) I) @
-(* [0x3806] A=0 goto l2  3clk *) (compile m ? BEQ (maIMM1 〈x0,xE〉) I) @
-(* [0x3808] A <- ZL      3clk *) (compile m ? LDA (maDIR1 〈x2,x3〉) I) @
-(* [0x380A] Y --         5clk *) (compile m ? DEC (maDIR1 〈x2,x1〉) I) @
-(* [0x380C] A += X       3clk *) (compile m ? ADD (maDIR1 〈x2,x0〉) I) @
-(* [0x380E] C=0 goto l3  3clk *) (compile m ? BCC (maIMM1 〈x0,x2〉) I) @
-(* [0x3810] ZH ++        5clk *) (compile m ? INC (maDIR1 〈x2,x2〉) I) @
-(* [0x3812] (l3) ZL <- A 3clk *) (compile m ? STA (maDIR1 〈x2,x3〉) I) @
-(* [0x3814] goto l1      3clk *) (compile m ? BRA (maIMM1 〈xE,xE〉) I)
-(* [0x3816] (l2) si puo' quindi enunciare che
-                 - il caso base X * 0 richiede 12 cicli
-                 - bisogna aggiungere Y * 26 cicli, Y>0
-                 - bisogna aggiungere ZH * 5 cicli, X * Y > 0xFF *)
-).
-
-(* creazione del processore+caricamento+impostazione registri *)
-ndefinition mTest_RS08_mult_status ≝
-λt:memory_impl.
-λb1,b2,b3,b4:byte8.
- set_z_flag RS08 t (* Z<-true *)
- (set_pc_reg RS08 t (* PC<-mTest_RS08_prog *)
-  (start_of_mcu_version_RS08 
-   MC9RS08KA2 t
-   (load_from_source_at t (* carica X,Y,ZH,ZL:mTest_RS08_RAM *)
-    (load_from_source_at t (zero_memory t) (* carica source in ROM:mTest_RS08_prog *)
-     mTest_RS08_mult_source mTest_RS08_prog)
-    [ b1 ; b2 ; b3 ; b4 ] mTest_RS08_RAM)
-   (build_memory_type_of_mcu_version (FamilyRS08 MC9RS08KA2) t)
-   (mk_byte8 x0 x0) (mk_byte8 x0 x0) (* non deterministici tutti a 0 *)
-   false false false false false false (* non deterministici tutti a 0 *)
-   ) mTest_RS08_prog)
-  true.
-
-(* parametrizzazione dell'enunciato del teorema mult *)
-(* NB: la memoria e' cambiata e bisogna applicare eq_status *)
-ndefinition ok_mTest_RS08_mult_full_aux ≝
-λt:memory_impl.λX,Y:byte8.
- eq_anystatus RS08 t
-  (match execute RS08 t (TickOK ? (mTest_RS08_mult_status t X Y 〈x0,x0〉 〈x0,x0〉))
-                                  (nat12 + (nat26 * (nat_of_b8 Y)) + (nat5 * (nat_of_b8 (w16h (mul_b8 X Y)))))
-   (* FIXME: alla ALU azzero C perche' la funzione che ne descrive il valore finale e' MOLTO complessa *)
-   with [ TickERR s _ ⇒ s | TickSUSP s _ ⇒ s | TickOK s ⇒ set_c_flag RS08 t s false ])
-  (set_pc_reg RS08 t (mTest_RS08_mult_status t X 〈x0,x0〉 (w16h (mul_b8 X Y)) (w16l (mul_b8 X Y))) 〈〈x3,x8〉:〈x1,x6〉〉)
-  (* controllo che coincidano X,Y,ZH,ZL *)
-  [ 〈〈x0,x0〉:〈x2,x0〉〉 ; 〈〈x0,x0〉:〈x2,x1〉〉 ; 〈〈x0,x0〉:〈x2,x2〉〉 ; 〈〈x0,x0〉:〈x2,x3〉〉 ] = true.
-
-nlemma ok_mTest_RS08_mult_full : 
-let X ≝ 〈xF,xF〉 in
-let Y ≝ 〈x1,xE〉 in
- ∀t:memory_impl.
-  ok_mTest_RS08_mult_full_aux t X Y.
- #t;
- nletin X ≝ (〈xF,xF〉);
- nletin Y ≝ (〈x1,xE〉);
- napply (eq_to_eqanystatus_weak [ 〈〈x0,x0〉:〈x2,x0〉〉 ; 〈〈x0,x0〉:〈x2,x1〉〉 ; 〈〈x0,x0〉:〈x2,x2〉〉 ; 〈〈x0,x0〉:〈x2,x3〉〉 ] RS08 t
-        (match execute RS08 t (TickOK ? (mTest_RS08_mult_status t X Y 〈x0,x0〉 〈x0,x0〉))
-                                        (nat12 + (nat26 * (nat_of_b8 Y)) + (nat5 * (nat_of_b8 (w16h (mul_b8 X Y)))))
-         with [ TickERR s _ ⇒ s | TickSUSP s _ ⇒ s | TickOK s ⇒ set_c_flag RS08 t s false ])
-        (set_pc_reg RS08 t (mTest_RS08_mult_status t X 〈x0,x0〉 (w16h (mul_b8 X Y)) (w16l (mul_b8 X Y))) 〈〈x3,x8〉:〈x1,x6〉〉));
- nelim t;
- nnormalize in ⊢ (? ? ? %);
- napply refl_eq.
-nqed.